积分第二中值定理的中值点的近似计算

Approximate Calculation of Intermediate Point of Second Mean Value Theorem for Definite Integrals

研究了积分第二中值定理的中值点的近似计算,利用连续函数的零点定理,设计了一个求积分第二中值定理的近似中值点的非线性优化方法,为抽象的积分第二中值定理的可视化问题提供了一种实现方案和算法.最后给出了两个实例的Matlab图示.

The approximate calculation of intermediate points of second mean value theorem for definite integrals is discussed in this paper.Utilizing zero point theorem for continuous function,a non-linear optimization method of solving intermediate points is designed,hence,it provides a realization strategy and algorithms for visualization of abstract second mean value theorem for definite integrals.Finally,the visualization figures of two examples are given with Matlab toolkit.